nach oben

Quantum Information Processing

Erschienen in:

01.08.2013

Quantum private comparison protocol based on entanglement swapping of \(d\)-level Bell states

verfasst von: Fen Zhuo Guo, Fei Gao, Su Juan Qin, Jie Zhang, Qiao Yan Wen

Erschienen in: Quantum Information Processing | Ausgabe 8/2013

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, we propose a quantum private comparison protocol based on entanglement swapping, where two distrustful parties can compare the values of their secrets with the help of a semi-trusted third party. The protocol can determine not only whether two secrets are equal, but also the size relationship between them. The two parties can deduce the comparison result based on the keys shared between them and the announcement of the third party. Others including the third party will learn nothing about the values of the secrets, as well as the comparison result. The security of our protocol is analyzed. Furthermore, all the particles can be reused in the same protocol model theoretically. So our protocol is efficient and feasible to expand in network service, which in turn gives a solution to the left problem in Lin et al. (Quantum Inf Process, doi:10.1007/s11128-012-0395-6, 2012).

Vorheriger Artikel Erratum to: Asymmetric quantum codes: new codes from old

Nächster Artikel Construction of general quantum channel for quantum teleportation

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Bennett, C.H., Brassard, G.: in IEEE International Conference on Computers, Systems and Signal Processing. IEEE, New York: Bangalore, pp. 175–179 (1984)

Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68(21), 3121–3124 (1992)MathSciNetADSMATHCrossRef

Bose, S., Vedral, V., Knight, P.L.: Multiparticle generalization of entanglement swapping. Phys. Rev. A. 57, 822 (1998)ADSCrossRef

Boström, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (2002)ADSCrossRef

Boudot, F., Schoenmakers, B., Traore, J.: A fair and efficient solution to the socialist millionaires problem. Discr. Appl. Math. (Special Issue on Coding and Cryptology) 111, 23–25 (2001)MathSciNetMATHCrossRef

Cerf, N.J., Bourennane, M., et al.: Security of quantum key distribution using d-level systems. Phys. Rev. Lett. 88, 127902 (2002)ADSCrossRef

Chen, X.B., Xu, G., Niu, X.X., Wen, Q.Y., Yang, Y.X.: An efficient protocol for the private comparison of equal information based on the triplet entangled state and single-particle measurement. Opt. Commun. 283, 1561–1565 (2010)ADSCrossRef

Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phys. Rev. A. 68, 042317 (2003)ADSCrossRef

Ekert, A.K.: Quantum cryptography based on Bell theorem. Phys. Rev. Lett. 67(6), 661–663 (1991)MathSciNetADSMATHCrossRef

10.

Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: A simple participant attack on the BradlerCDusek protocol. Quantum Inf. Comput. 7, 329 (2007)MathSciNetMATH

11.

Guo, F.Z., Qin, S.J., Wen, Q.Y., Zhu, F.C.: Cryptanalysis and improvement of two GHZ-state-based QSDC protocols. Chin. Phys. Lett. 27(9), 090307 (2010)ADSCrossRef

12.

Guo, F.Z., Gao, F., Wen, Q.Y., Zhu, F.C.: A two-step channel-encrypting quantum key distribution protocol. Int. J. Quantum Inf. 8(6), 1013–1022 (2010)MATHCrossRef

13.

Hillery, M., Buzěk, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A. 59, 1829–1834 (1999)MathSciNetADSCrossRef

14.

Jia, H.Y., Wen, Q.Y., Song, T.T., Gao, F.: Quantum protocol for millionaire problem. Opt. Commun. 284, 545–549 (2011)ADSCrossRef

15.

Jia, H.Y., Wen, Q.Y., Li, Y.B., Gao, F.: Quantum private comparison using genuine four-particle entangled states. Int. J. Theor. Phys. 51, 1187–1194 (2012)MathSciNetMATHCrossRef

16.

Karimipour, V., Bahraminasab, A.: Quantum key distribution for d-level systems with generalized Bell states. Phys. Rev. A. 65, 052331 (2002)ADSCrossRef

17.

Lin, S., Sun, Y.,. Liu, X.F, Yao, Z.Q.: Quantum private comparison protocol with d-dimensional Bell states. Quantum. Inf. Process., doi:10.1007/s11128-012-0395-6 (2012)

18.

Lin, S., Wen, Q.Y., Gao, F., Zhu, F.C.: Quantum secure direct communication with chi-type entangled states. Phys. Rev. A. 78, 064304 (2008)ADSCrossRef

19.

Liu, B., Gao, F., Jia, H.Y., Huang, W., Zhang, W.W., Wen, Q.Y.: Efficient quantum private comparison employing single photons and collective detection. Quantum. Inf. Process., doi:10.1007/s11128-012-0439-y, (2012)

20.

Liu, W., Wang, Y.B.: Quantum private comparison based on GHZ entangled states. Int. J. Theor. Phys., doi:10.1007/s10773-012-1246-z

21.

Liu, W., Wang, Y.B., Jiang, Z.T.: An efficient protocol for the quantum private comparison of equality with W state. Opt. Commun. 284, 3160–3163 (2011)ADSCrossRef

22.

Liu, B., Gao, F., Wen, Q.Y.: Single-photon multiparty quantum cryptographic protocols with collective detection. IEEE J. Quantum Electron. 47, 1389–1390 (2011)ADS

23.

Liu, W., Wang, Y.B., Cui, W.: Quantum private comparison protocol based on bell entangled states. Commun. Theor. Phys. 57, 583–588 (2012)ADSMATHCrossRef

24.

Liu, W., Wang, Y.B., Jiang, Z.T., Cao, Y.Z.: A protocol for the quantum private comparison of equality with \(\chi \)-type state. Int. J. Theor. Phys. 51, 69–77 (2012)MathSciNetMATHCrossRef

25.

Liu, W., Wang, Y.B., Jiang, Z.T., Cao, Y.Z., Cui, W.: New quantum private comparison protocol using \(\chi \)-type state. Int. J. Theor. Phys. 51, 1953–1960 (2012)MathSciNetMATHCrossRef

26.

Lo, H.K.: Insecurity of quantum secure computations. Phys. Rev. A. 56(2), 1154–1162 (1997)ADSCrossRef

27.

Ma, J.J., Guo, F.Z., Yang, Q., et al.: Semi-loss-tolerant strong coin flipping protocol using EPR pairs. Quantum Inf. Comput. 12, 0490–0501 (2012)MathSciNet

28.

Pan, J.W., Bouwmeester, D., et al.: Experimental entanglement swapping: entangling photons that never interacted. Phys. Rev. Lett. 80, 3891 (1998)MathSciNetADSMATHCrossRef

29.

Steane, A.: Quantum computing. Rep. Prog. Phys. 61, 117–173 (1998)MathSciNetADSCrossRef

30.

Tseng, H.Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum. Inf. Process. 11, 373–384 (2012)MathSciNetMATHCrossRef

31.

Yang, Y.G., Xia, J., Jia, X., Zhang, H.: Comment on “quantum private comparison protocols with a semi-honest third party”. Quantum. Inf. Process., doi:10.1007/s11128-012-0433-4 (2012)

32.

Yang, Y.G., Wen, Q.Y.: An efficient two-party quantum private comparison protocol with decoy photons and two-photon entanglement. J. Phys. A-Math. Theor. 42, 055305 (2009)MathSciNetADSCrossRef

33.

Yang, Y.G., Cao, W.F., Wen, Q.Y.: Secure quantum private comparison. Phys. Scr. 80(6), 065002 (2009)ADSCrossRef

34.

Yao, A.C.: Protocols for secure computations. In: Proceedings of 23rd IEEE Symposium on Foundations of Computer Science (FOCS’ 82). Washington, DC, USA, pp. 160 (1982)

35.

Zhang, W.W., Gao, F., Liu, B., et al.: A quantum watermark protocol. Int. J. Theor. Phys. doi:10.1007/s10773-012-1354-9 (2012)

36.

Zhang, W.W., Gao, F., Liu, B. et al.: A watermark strategy for quantum images based on quantum fourier transform. Quantum. Inf. Process. doi:10.1007/s11128-012-0423-6 (2012)

37.

Zukowski, M., Zeilinger, A., Horne, M.A., Ekert, A.K.: “Event-ready-detectors” Bell experiment via entanglement swapping. Phys. Rev. Lett. 71, 4287 (1993)ADSCrossRef

Titel: Quantum private comparison protocol based on entanglement swapping of -level Bell states
verfasst von: Fen Zhuo Guo
Fei Gao
Su Juan Qin
Jie Zhang
Qiao Yan Wen
Publikationsdatum: 01.08.2013
Verlag: Springer US
Erschienen in: Quantum Information Processing / Ausgabe 8/2013
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-013-0536-6

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Weitere Artikel der Ausgabe 8/2013

Expansible quantum secret sharing network

Concurrence for infinite-dimensional quantum systems

Detecting non-Abelian geometric phase in circuit QED

Quantum state sharing against the controller’s cheating

Quantum games and quaternionic strategies

Improving the security of arbitrated quantum signature against the forgery attack